{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 准备工作"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 导入相关库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 解决绘图中文乱码问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus']=False #用来正常显示负号"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 准备测试数据：以三角函数为例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.10083842,  0.20064886,  0.2984138 ,  0.39313661,\n",
       "        0.48385164,  0.56963411,  0.64960951,  0.72296256,  0.78894546,\n",
       "        0.84688556,  0.8961922 ,  0.93636273,  0.96698762,  0.98775469,\n",
       "        0.99845223,  0.99897117,  0.98930624,  0.96955595,  0.93992165,\n",
       "        0.90070545,  0.85230712,  0.79522006,  0.73002623,  0.65739025,\n",
       "        0.57805259,  0.49282204,  0.40256749,  0.30820902,  0.21070855,\n",
       "        0.11106004,  0.01027934, -0.09060615, -0.19056796, -0.28858706,\n",
       "       -0.38366419, -0.47483011, -0.56115544, -0.64176014, -0.7158225 ,\n",
       "       -0.7825875 , -0.84137452, -0.89158426, -0.93270486, -0.96431712,\n",
       "       -0.98609877, -0.99782778, -0.99938456, -0.99075324, -0.97202182,\n",
       "       -0.94338126, -0.90512352, -0.85763861, -0.80141062, -0.73701276,\n",
       "       -0.66510151, -0.58640998, -0.50174037, -0.41195583, -0.31797166,\n",
       "       -0.22074597, -0.12126992, -0.0205576 ,  0.0803643 ,  0.18046693,\n",
       "        0.27872982,  0.37415123,  0.46575841,  0.55261747,  0.63384295,\n",
       "        0.7086068 ,  0.77614685,  0.83577457,  0.8868821 ,  0.92894843,\n",
       "        0.96154471,  0.98433866,  0.99709789,  0.99969234,  0.99209556,\n",
       "        0.97438499,  0.94674118,  0.90944594,  0.86287948,  0.8075165 ,\n",
       "        0.74392141,  0.6727425 ,  0.59470541,  0.51060568,  0.42130064,\n",
       "        0.32770071,  0.23076008,  0.13146699,  0.03083368, -0.07011396,\n",
       "       -0.17034683, -0.26884313, -0.36459873, -0.45663749, -0.54402111])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求向量x中的元素对应的正弦值所构成的向量\n",
    "sinY = np.sin(x)\n",
    "sinY"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        ,  0.99490282,  0.97966323,  0.95443659,  0.91948007,\n",
       "        0.87515004,  0.8218984 ,  0.76026803,  0.69088721,  0.61446323,\n",
       "        0.53177518,  0.44366602,  0.35103397,  0.25482335,  0.15601496,\n",
       "        0.0556161 , -0.04534973, -0.14585325, -0.24486989, -0.34139023,\n",
       "       -0.43443032, -0.52304166, -0.60632092, -0.68341913, -0.75355031,\n",
       "       -0.81599952, -0.87013012, -0.91539031, -0.95131866, -0.97754893,\n",
       "       -0.9938137 , -0.99994717, -0.9958868 , -0.981674  , -0.95745366,\n",
       "       -0.92347268, -0.88007748, -0.82771044, -0.76690542, -0.69828229,\n",
       "       -0.6225406 , -0.54045251, -0.45285485, -0.36064061, -0.26474988,\n",
       "       -0.16616018, -0.06587659,  0.03507857,  0.13567613,  0.23489055,\n",
       "        0.33171042,  0.4251487 ,  0.51425287,  0.59811455,  0.67587883,\n",
       "        0.74675295,  0.8100144 ,  0.86501827,  0.91120382,  0.94810022,\n",
       "        0.97533134,  0.99261957,  0.99978867,  0.99676556,  0.98358105,\n",
       "        0.96036956,  0.9273677 ,  0.88491192,  0.83343502,  0.77346177,\n",
       "        0.70560358,  0.63055219,  0.54907273,  0.46199582,  0.37020915,\n",
       "        0.27464844,  0.17628785,  0.07613012, -0.0248037 , -0.12548467,\n",
       "       -0.2248864 , -0.32199555, -0.41582217, -0.50540974, -0.58984498,\n",
       "       -0.66826712, -0.7398767 , -0.8039437 , -0.859815  , -0.90692104,\n",
       "       -0.94478159, -0.97301068, -0.99132055, -0.99952453, -0.99753899,\n",
       "       -0.98538417, -0.96318398, -0.93116473, -0.88965286, -0.83907153])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求向量x中的元素对应的余弦值所构成的向量\n",
    "cosY = np.cos(x)\n",
    "cosY"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 折线图和绘图基础"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制一条曲线，正弦函数\n",
    "plt.plot(x, sinY)\n",
    "# 调用show()方法显示图像，不调用则不显示\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制两条曲线\n",
    "plt.plot(x, sinY)\n",
    "plt.plot(x, cosY)\n",
    "# 调用show()方法前可以先绘制多条曲线，做一些准备工作\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 尝试绘制两条直线\n",
    "plt.plot(x, sinY)\n",
    "# 可以修改绘制的颜色\n",
    "# 可以修改线条的样式，有四种样式可以指定，\":\", \"-.\", \"--\", \"-\"\n",
    "plt.plot(x, cosY, color=\"red\", linestyle=\"--\")\n",
    "# 调用show()方法前可以先绘制多条曲线，做一些准备工作\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 尝试绘制两条直线\n",
    "plt.plot(x, sinY)\n",
    "# 可以修改绘制的颜色\n",
    "# 可以修改线条的样式，有四种样式可以指定，\":\", \"-.\", \"--\", \"-\"\n",
    "plt.plot(x, cosY, color=\"red\", linestyle=\"--\")\n",
    "# 指定横纵坐标的显示范围，写法1：分别指定\n",
    "plt.xlim(-5, 15)\n",
    "plt.ylim(-2, 2)\n",
    "# 调用show()方法前可以先绘制多条曲线，做一些准备工作\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bO5G4hr79GkRsUioshJMnncafmtyOEmOXcFf1myYH9a0569IIE5g8qMwyDM88Y0fDnGcfYi9c3SOBZg0jmbO+Dp54/vlPu8tbr15OwyzflkFObiFTk8ssyZGfD506ebc0eAU6xccyqH1TZn+Tpust1XNe7SE9VkR2ikiKiDxQzvM/FJEsEdng+7rDi7jKOyUlhnnr07m8a0taNS6zmU9cnP1k6lup1ZWoiDDG92vNsq1HOJlX6DSWp06fhtmzYepUO3LIoTnr0mgdF8MlF7X47hPR0bZZ6bXX3M7MBqYMbsvuzNNsOeT2KkXVroCTg4iEA88B1wK9gOkiUt7Hp7eNMQN8X38PNK7y1tep2Rw6ket/1XDO4sXQurXdTtShyYPakF9UwgebjziN46nZs+1e3Lfe6jTMsdP5fLr7KBMGtCl/X43vfx+OHLF7TTs0vm9roiLCmL0uzWkcVbu8uHIYCqQYY/YaYwqAt4CJHhxXBdHcdYeIjQpnTK/E8gt06QIZGXbLS4cGtGtKp/hY5qyvQyee11+Hzp3h0kudhlm46TDFJYZJFa2+On48NGnifF5KXMNIRvVsxYKN6RQVu72aVLXHi+TQBig9ti3N91hZU0Rkk4i8JyIVrmEsIjNEZK2IrM3KqoMdk3VQXmExi7cc5po+iTSIqmCNnm7dbLOF4xOPiDBpYBtW7c0mva4s5f3ww/DnPzvvk5m7/hA9k5rQPbFx+QViYuzggdmz4azb+SIT+rch+0wBX+w55jSOqj1eJIfy/iPK9lS9D3Q0xvQDPgReqehgxphZxphkY0xyy5YtPaieqswnu7I4lVfExAGV7Adw882wbp2d6OXQ9f1bA7Bo02GncTxz2WV2dzaHUo+eYcPBE0wa2Pr8BX/+c3j/fZsoHLqye0sax0QwX0ct1VteJIc0oPSVQFsgvXQBY8wxY0y+7+6LwGAP4iqPvL8xneaxUVxatpOzrGnT7KfjN95wWp9O8bH0bRPH+5vSKy9c2556ym6t6thC32sxvl8lyaF3b7jySjuAwKGYyHDG9k5k2dYM8grddoCr2uHFX9AaoKuIdBKRKGAasKB0AREpvbTnBGC7B3GVB84WFPHR9kyu7ZNY+WYxSUl27+Jrr3Verwn9W7MpLYfUo2ecx6qx1FS47z672J5jCzcdJrlDM1o3rcJoqD177BWE4zkPEwa05nR+ER/v0OU06qOAk4MxpgiYCSzFnvTfMcZsFZFHRWSCr9jdIrJVRDYCdwM/DDSu8saH2zPJLSz+timnUr/4BQwf7rZSwHX97OeJ9zeG8NXDO+/Y79/7ntMwKZmn2HHkFOP7VXH59IwMePppWLCg8rIBGN65BfGNolhYV5r/VLV4cu1pjFlsjOlmjLnIGPOY77GHjTELfLcfNMb0Nsb0N8ZcZYxx22itqmzhxnRaNY6u3m5va9c6/7TcumkDkjs0Y9HmED7xvPuu7aTv1MlpmPc3HkYExvWtYnK4+GK7b7XjkWUR4WFc0zuRFTsyyS3QpqX6RmdIX8BO5xexclcW4/omEV7euPmKPPgg3H238+U0xvVNYseRU+zNOu00To3s22eT5NSpzkMt2nyYYZ2a06pJFTuZw8JsvZYuhePHndbtur5J5BYW8/FObVqqbzQ5XMA+3pFJQVFJ1T+RnjN1ql0B1HFH7LV97ZyLJVtCcELc9u3QtKkdOurQ7oxTpGSe5rqavEeFhXbkkkNDOzWnRWxUaF/hqRrR5HABW7LlMC0bRzO4Q7Pq/eCkSRAebsfTO5QU14BB7ZuyOBRPPOPGQWam8yalJVuOIALX9K5gcmJFhgyBvn0hO9tNxXwiwsO4pk8iK7Zr01J9o8nhAnW2oIgVOzIZ2zuxek1KYPcOuOIKmDPHTeVKGdc3ia3pJ9l/LIRGLRUV2Sa1yEjnoRZvtqOUqtykdI4IbNwI997rpmKlnGta0k2A6hdNDheolTuzyCss+bbpptomT4aDB+Gw20/1Y/vY+i0OpbWWnn0WevRwvvPavqNn2HHkFGP7VLNJ6RwRm8TOuE2swzo1p2nDSJZurQd7gKtvaXK4QH2w5QjNY6MYWp1RSqXddhtkZdm5Dw61bdaQvm3iWLo1hJLDnDl2FdS4OKdhlmyxifdcgqyRq692viBgRHgYo3sm8OH2DAqKdK2l+kKTwwWooKiEj3dkMqpnq8onvlWkYUPnSzScM7ZPIhsOngiN3ccyMuDzz2HKFOehlm45Qv+2cbSpysS3ivTsCUuWQK7bdarG9knkVF4RX+456jSOCh5NDhegL/cc5VR+UWCfSAG+/NJ2eu7d603FKnCuM3bZthC4epg/3zbVTJ7sNMzhnFw2puUwprod0WVNmmQX4Vu+3JuKVeDSLvE0io4IrSs8FRBNDhegpVuPEBsVziUXxQd2oMRE2LLFnjAd6tKqEV1aNeKDUBjSOmcOXHQR9OnjNMwyX/t9tUcplXXllXbI7dy5gVfqPGIiw7mqRyuWbc2om3uAKz+aHC4wxSWG5dsyuKpHK2IiK1ieu6o6d4Z+/ZyfeADG9k5k9b5sjp8pcB7rvO68Ex591Pny3Eu3HuGilrF0adUosANFRtp9Ht5/346ycuia3gkcO1PAugNuJ96p4NDkcIFZd+A4R08XBP6J9JxJk+CLL+yYf4fG9E6guMTwUW0v8jZlil263KHjZwpYvS/bu/fopz+1I6wcz2i/oltLosLDWKZNS/WCJocLzPJtGUSGC1d292ivjBtusHtLO56J27dNHIlNYlhem/0OCxZASorzMCt2ZFJcYrxLDhdfbJdbdzwvo3FMJJd0acGybRkYx4lIuafJ4QJijGHp1iNcclE8jWM8OlH072+bWhzPFBYRxvRO4JNdWbUzEzc/H/7jP+DJJ52HWr4tg8QmMfRr6+FQ2f374bnnnF89jOmVyP5jZ9mZccppHOWeJocLyO7M0+w/dpbRvRK8O6gIzJplx9M7NqZXInmFJXyeUgvDJVesgNOnYaLb7dHzCov5ZFcWo3q1Qrzs1/joI5g5086adsjW+98d6qru0uRwATnXFuxpcjgnNdV5k8uwzs1pHFNLwyXnzYNGjWDkSKdhvkg5Sm5hMWN6edSkdM7119vVWufN8/a4ZbRqHMOAdk1Zvk2TQ12nyeECsmxbBv3bNSWhuuv0VKa4GAYPtqN4HIoMD+PqHq2+bZMPmpIS298wdqzziX/LtmbQODqCiztXsmVrdbVsCZdc4jw5gP3wsflQDukn3E68U25pcrhAHMnJY1NaDmNcXDWEh8N118GiRc6HS47ulUD2mQK+2R/E4ZI7d8LRo7bz3SE7GiuDK7q3JCrCwb/mxIm2WSk11ftjl3LuqufD7Xr1UJdpcrhALPf9ozpJDmBPnNnZdmkJh67o1pLIcAnuqKWePe1Q3UmTnIZZ7xtmHPCs6IpMnGgT+dq1bo7v06VVIzrHx2rTUh3nSXIQkbEislNEUkTkgXKejxaRt33PrxaRjl7EVVW3fFsGHVs0DHxSVUXGjLGL0TmeLd04JpLhF8WzPNjDJZs1s+tJOeT5MOOyunaFY8ecb1AE9gpv1d5jnMwrdB5LuRFwchCRcOA54FqgFzBdRHqVKfYj4LgxpgvwNPBEoHFV1Z3KK+SrPUcZ3SvB2xEwpZ3rrF240M3xSxndK4HUY2dJyQzC9qEpKTBiBKxb5zzU8m0ZXNy5BU28GmZcHscryZ4zulcChcWGlTuzghJPec+LK4ehQIoxZq8xpgB4Cyg73m8i8Irv9nvASHF2llJlfbIri8Jiw2ivR8CU9fTTdjE+x0b3tE1jy4LRbDF/Pnz2GTSv4dLmVbQn6zR7j55xM5KstMxMu1HTW285DTOwfTNaxEZp01Id5kVyaAMcLHU/zfdYuWWMMUVADlDucAwRmSEia0VkbVaWfurwwsncIi5qGVv97UCrq1s3OyrGscQ4O0EsKCee+fPt+lEdOzoNc+53GdXTcXKIj4ddu5zv4hceJozs2YqVvn3KVd3jRXIo7wqgbGNwVcrYB42ZZYxJNsYktwzCieZCcPOw9nz48yuqvx1oTcydCz/7mfMwo3smsOHgCTJPOtzj4ehRu26U44lvYJND79ZNaB3I3g1VERZm5zwsWWJnfTs0ulcip/KLWL3vmNM4yg0vkkMa0K7U/bZAekVlRCQCiAPc7nyuviNorXg7dthF3g4dchpmdG/7CfvD7Q4X4lu0yM5xcJwcsk7ls+7Ace8nvlVk4kQ72/vjj52GuaxLPDGRYdq0VEd5kRzWAF1FpJOIRAHTgAVlyiwAzu1VeCOwwujKXPXTuRPpgrJ/At7qntCYds0buB3S2qKFHdkzaJC7GMBH2zMwxtHM9fKMHAmxsc5HljWICufyri35UBfiq5MCTg6+PoSZwFJgO/COMWariDwqIhN8xf4BtBCRFODngN9wV1VP9OwJXbo4P/GICKN7JvLFnmOcyXc08W78eHj3Xed7NyzflkGbpg3omdTYaZxvxcTAL38JQ4c6DzW6VwLpOXlsTT/pPJbylifzHIwxi40x3YwxFxljHvM99rAxZoHvdp4x5iZjTBdjzFBjjNt9JVXtEbET4lasgJNuTwijeyVQUFTCp7scDFxIS7OT+hw7W1DE5ymOhxmX55FH4LbbnIcZ2aMVYRKkkWXKUzpDWnnvhhsgORnSy3Y9eWtIx2Y0bRjppk37kUfs6Ktit8uDf7rrKPlFJe5mrp/P8ePOV2lt0Sia5A7NdQOgOkiTg/LepZfa+Q49ejgNE+FbiO+jHZkUFns4XLK42G5eNHq0XW7CoWXbjhDXIJIhndzOoyjXTTfZPSocG90rgR1HTnEw+6zzWMo7mhyUOydPQqHb5RPG9EokJ7eQNakeNgF99RVkZTlfaK+ouIQVOzIZ2aMVkeG18K84YQJs3Qq7dzsNc66jXZuW6hZNDsqNVavshDjHwyVHdIsnOiLM281l5s2zW2qOHevdMcuxJvU4J84WMqZ3LTQpwb9HljlexrtjfCzdExpr01Ido8lBudG/vz3BOj7xNIyK4PKuHi7EZ4yt88iRztchWrbtCNERYYzoVkuTPTt0gIEDg7LHw5jeCaxJzebYabcT75R3NDkoNxo0sJ+8582zE8kcGtM7kUMncr0ZLiliZw8//njgxzoPYwzLtmZwedd4GkZFOI11Xjfc8O9mNIeu6Z1IiYGPdjictKg8pclBuXPDDXD4MKxZ4zTMqJ4JhAl8sMWjZouuXe2Vj0Nb009y6ERu8GZFV+TOO+2sdsdL1fRu3YQ2TRto01IdoslBuXPddRAR4XyRt+axUQzt1NybvaV/9Sv48MPAj1OJpVuPEB4mjKqNIaylJSXZIbuOiQijeyXw6e6j7iYtKk9pclDuNGsGL78MP/qR81BjeyeyO/M0e7IC2ONh3z74059gwwbvKlaBJVuOMKxTc5rHRjmPVakNG2D6dDhxwmmYa3onUlBUwicuJi0qz2lyUG59//tB+WR6bmvNgK4ezl3hTJ7sQY0qlpJ5ipTM01zjajvQ6srLs/s7LFrkNMyQjs1oHhvFEq+a/5RTmhyUe/Pn26W8HWrdtAH92zUNrN9h9mw7eqdzZ+8qVo6lvmG3tTaEtayhQ6F1a/v7OxQRHsaYXgms2J5BXqHbmecqcJoclHtPPWWXo3BsXJ9ENqXl1Gwm7qFDdtTOlCneV6yMJVsOM6BdU5LiHO/dUFVhYfZq6YMP4MwZp6Gu7ZvEmYJiPt991GkcFThNDsq9KVNg82a7A5lD1/ZJAmo4aungQdv85Tg5HDh2li2HTnJd3ySncaptyhTIzYXFi52GGd65BU1iIrRpqQ7Q5KDcO3fCffddp2Hat2hI79ZNWLLlcPV/+OKL7ZBOx+tBLfbVbWyfEOlvOOfyy+2aWI4XGoyKCGNUrwSWbzui24eGOE0Oyr22beGSS5wnB4BxfZNYd+AEh3Nyq/5DZ89CQYHzfRsAFm8+TP+2cbRr3tB5rGoJD4fPP4dp05yHuq5vEifzivhijzYthTJNDio4pk61C/EdP+40zDhfc82iTdW4enjpJUhIgAy3C8MdzD7LprQcrg21JqXSCgsh0+0s5su6xtM4JoKFG2twhaeCRpODCo6f/AT27LFzHxzqFB+69gNTAAATyklEQVRL79ZNWFid5PDOO/bqJsHt6KHFm22dxvUJ0eRgDPTrBzNnOg0THRHONb0TWbbtCPlFOmopVGlyUMERGWmbbYrcz469vn9rNhw8UbVRS4cO2eaUqVOd12vBxnT6t2tK+xYh1qR0jghcdRUsXAinA5hMWAXX9UviVF4Rn+3SpqVQFVByEJHmIrJcRHb7vpf7sVBEikVkg+/L7c7zKnStXAmJibBli9Mw50YCVenq4b337Cdmx8lhT9ZptqafZEL/1k7jBGz6dDtqyfEe4Jd1iadpw0gWbnK7W6CquUCvHB4APjLGdAU+8t0vT64xZoDva0KAMVVd1bOn7XN4802nYdo1b8iAdk15f2MVTjyvvw6DBkH37k7rtGBDOiIwvl+INimdc+mltonN8XsUGR7GtX0SWbYtg7MFutZSKAo0OUwEXvHdfgVwu3WWqtsSEmDUKHjjDftp3aGJA1qz7fBJdmecOn/Bv/wFnnzSaV2MMby/KZ1hnZqT0CTGaayAhYXZEUtLl8KxY05DTRzQhrMFxW72AFcBCzQ5JBhjDgP4vreqoFyMiKwVkVUict4EIiIzfGXXZjleY17VgptvhtRUu1OcQ+P7tSY8TJi7/tD5Cw4fbjf2cWjLoZPszTrDhP5tnMbxzH/+J6xY4XzwwNCOzWkdF8P8Ddq0FIoqTQ4i8qGIbCnna2I14rQ3xiQDNwN/FpGLKipojJlljEk2xiS3dLzGvKoFkyZBTAy89prTMC0bR3N513jmb0inpKScqxRj4Ne/hk2bnNYDYPa6NKIiwkJvVnRFOne2k+LC3I5XCQsTrh/Qmk93ZZF9psBpLFV9lb77xphRxpg+5XzNBzJEJAnA973cAdLGmHTf973ASmCgZ7+BqluaNIFnnoFbbnEeatLANhw6kcvXqdn+T65eDY89BmvXOq1DYXEJCzamM7pnAnENI53G8lRaGvzsZ3b4sUM3DGhDUYlhkXZMh5xAPxosAG713b4V8BviICLNRCTadzseuBTYFmBcVZfdeScMG+Y8zOheCcRGhTNnXZr/ky+/DA0bwk03Oa3DJzvtp+LJg+pIk1Jpzz0Hr77qNETPpCb8ZnwvLu+qrQShJtDk8DgwWkR2A6N99xGRZBH5u69MT2CtiGwEPgYeN8ZocrjQbdgAzz/vNETDqAiu65fEwk2Hv7v72Nmzdv+CG2+Exo2d1mHO+jRaxEYxolsdO/m1bWsHD7z6qvM9wH90WSc6xsc6jaGqL6DkYIw5ZowZaYzp6vue7Xt8rTHmDt/tL40xfY0x/X3f/+FFxVUd9/bbttniiNvVOacmt+NsQfF3l9OYO9cu5XHbbU5jHzudz/JtGUwc0IbI8Do43/TWW+3ggZUra7smqhbUwb9YVS/88Id2BdB//tNpmMEdmtG5ZSxvrz347wdPnIDBg2HECKexZ69Lo7DYMH1oO6dxnJk82Y5YmjWrtmuiaoEmB1U7uneHK6+0Jx6HzRYiwveS2/HN/uOkZPrmPPz0p7BmjdPROMYY3lpzkMEdmtE1wW3TlTMNGtg1sVq2dD4vRYUeTQ6q9vz4x7BvHyxf7jTM5EFtiQwXXlt1wMYzxvny3F/vy2Zv1hmmD23vNI5zf/gD/PWvQVnOXIUWTQ6q9kyaBBddZHdhc6hl42jG9U1i4ao9mMGD4b/+y2k8gFdX7adxTETdmdtwPsbYSYuOO6ZVaNHkoGpPdLTdOvSOO5yHumV4R67YuBI5fhwmVmf+ZvWln8jlgy1HmDakHQ2iwp3GCoolS+xM8iVLarsmKog0OajaFRZmP5k6nmw1qF0cP934PqkJHTFXXOE01mur9mOM4ZbhHZ3GCZrRo6FNG7sOlbpgaHJQte+BB+zKqCdPOgshK1bQ+VAKzw2ayMrd7vYQyCss5s2vDzC6V0LobQVaU5GRtmN6+XLYurW2a6OCRJODqn033mgTwz8cToF5+WVMYiKrh1/DCyvdXaW8veYgx88W8qPLOjuLUStmzLCjl/7nf2q7JipINDmo2jdkCFxxhT3x5OW5ifHyy8jy5dxyZXdW78tm/QHv97IuKCrhhU/2MKRjM4Z2au758WtVfLxNEEuX2hnmqt7T5KBCw8MPQ3q6m6uHwkKIioI+fZg2tD1xDSJ5dkWK52HmrEvjcE4eM6/u6vmxQ8JvfwspKXZNKlXvaXJQoeGqq+wy0V4v5b1mDXTq9O3qq42iI5gxojMf7cjkm/3lrNZaQ/lFxTy3MoV+beMY0TXes+OGlKZNbWIoLLQ7+ql6TZODCg0idstOr9fxefhhuydyqW1Ab7u0I/GNonnig50Yj2b+/uur/RzMzuW+Md2R+jxhrLjYNgP+7Ge1XRPlmCYHFTratbNzH3JzIScn8OMtXgwffAAPPvid1VcbRkVwz8gufL0vmxU7yt2CpFpyzhby1xUpXN41vu6tvlpd4eEwbpxN5F7shbFvH/ztbzbpqJCiyUGFlvx86NcPfvWrwI6Tlwd3322vGO6+2+/p7w1pT5dWjXhkwVZyCwI7MT394S5O5hXy3+N6BnScOuOBB+x6S/feG9isaWNg5ky4/37I0H2kQ40mBxVaoqNh/Hh48UX49NOaH2fBAjux7plnbGd0GVERYTx2Qx/SjufyzIrdNQ6zNjWbV75K5ZaLO9AzqUnN61uXNGkCTz4JX3xhP/XX1Ny59uru0UehdWvv6qc8IV61ubqQnJxs1jrexlGFoNOnoX9/+6l006aabchjjE0ulcyGvu/djcxbf4i3fzycwR2aVStEXmEx4575jPzCEpb91whioyOqX8+6yhjbvJSXBytWVH9hviNHYMAASEy0zVMRF9Br55iIfGOMSQ70OHrloEJPo0Z2B7IDB+zM3Op8gDl5EnbutCerKiyT8ZvxvUhqGsPMN9ZVa5N7YwwPztnM3qwzPD6l74WVGMC+vm+8YWdN16QD/p137Hv12muaGEKUJgcVmi69FH73O7tia1UnXeXl2ZVehw6Fo1VbIiOuQSTP3TyIY6cL+Onr68grrFr/w98/28fc9Yf4xehuF+7+x82a2RP7sWPw+OPVS+J3322X4ujTx139VEACSg4icpOIbBWREhGp8DJGRMaKyE4RSRGRBwKJqS4gDz0Ey5ZBbCycOXP+k09uLtx8s23iePZZO6O3ivq1bcrjU/qyat8xfvyvbypNEH//bC+PLd7OuL6JzLy6S5Xj1FvvvGNHhN12m50DURFj4Pe/h/Xr7f1OnYJTP1UjgV45bAEmAxX2HIpIOPAccC3QC5guIr0CjKsuBCK2Mzk/364MescdkF3OxLWdO+GSS2wH51/+Aj/4QbVDTR7Ulscn9+WTXVlM+tuX7Dxyyq9MztlCHpyzmT8ssonh6e8NqN9zGqrqrrtsp/Irr9h+iL17/ctkZsKECXbeyZtvBr+OqtoCauwzxmwHKvsHGQqkGGP2+sq+BUwEtgUSW11AIiPh6qvhj3+E2bPtyX/gQDuqqVUr2z+RmgqLFtmTUw19b0h7WjaO5lfvbWLcM59xVfdWjOgWT0xkOJvTcli0+TAnzhYwY0Rn7h/bg/AwTQyATeK/+Y0dcXTPPdCrl9374aqrYMMGu5Pc22/bq4o//7ncocUq9HgyWklEVgL3GWP8hhaJyI3AWGPMHb77PwCGGWNmVnCsGcAMgPbt2w/ev39/wPVT9cSWLfDII3Zi29mzMG+e3bgnO9teXSR5s+va0dP5vPjZXuasO0TWqXwAGkaFc2mXeO4d1ZXereM8iVMvpafb9+ihh6BjR7tH+M9/DtOm2R34eveu7RrWe16NVqo0OYjIh0BiOU89ZIyZ7yuzkoqTw03ANWWSw1BjTKXz73UoqypXcbFtukhMrNkw16qGKTEcO5PP2fxikprGEB1RD3Z1C7a8PLuhUzlzTZQbXiWHSpuVjDGjAoyRBrQrdb8tkB7gMdWFLDwcurpf+TQ8TGjVOAbc5Z/6LyamtmugaigYQ1nXAF1FpJOIRAHTgAVBiKuUUqqGAh3KOklE0oDhwCIRWep7vLWILAYwxhQBM4GlwHbgHWOM7jWolFIhLNDRSnOBueU8ng6MK3V/MbA4kFhKKaWCR2dIK6WU8qPJQSmllB9NDkoppfxoclBKKeVHk4NSSik/mhyUUkr50eSglFLKjyYHpZRSfjQ5KKWU8qPJQSmllB9NDkoppfxoclBKKeVHk4NSSik/mhyUUkr50eSglFLKjyYHpZRSfjQ5KKWU8qPJQSmllJ9A95C+SUS2ikiJiCSfp1yqiGwWkQ0isjaQmEoppdwLaA9pYAswGfi/KpS9yhhzNMB4SimlgiCg5GCM2Q4gIt7URimlVEgIVp+DAZaJyDciMiNIMZVSStVQpVcOIvIhkFjOUw8ZY+ZXMc6lxph0EWkFLBeRHcaYTyuINwOYAdC+ffsqHl4ppZSXKk0OxphRgQYxxqT7vmeKyFxgKFBucjDGzAJmASQnJ5tAYyullKo+581KIhIrIo3P3QbGYDuylVJKhahAh7JOEpE0YDiwSESW+h5vLSKLfcUSgM9FZCPwNbDIGPNBIHGVUkq5FehopbnA3HIeTwfG+W7vBfoHEkcppVRw6QxppZRSfjQ5KKWU8qPJQSmllB9NDkoppfxoclBKKeVHk4NSSik/mhyUUkr50eSglFLKjyYHpZRSfjQ5KKWU8qPJQSmllB9NDkoppfxoclBKKeVHk4NSSik/mhyUUkr50eSglFLKjyYHpZRSfjQ5KKWU8qPJQSmllJ+AkoOI/ElEdojIJhGZKyJNKyg3VkR2ikiKiDwQSEyllFLuBXrlsBzoY4zpB+wCHixbQETCgeeAa4FewHQR6RVgXKWUUg4FlByMMcuMMUW+u6uAtuUUGwqkGGP2GmMKgLeAiYHEVUop5VaEh8e6HXi7nMfbAAdL3U8DhlV0EBGZAczw3c0XkS2e1dCNeOBobVeiCrSe3tJ6ekvr6Z3uXhyk0uQgIh8CieU89ZAxZr6vzENAEfB6eYco5zFTUTxjzCxglu+4a40xyZXVsTbVhTqC1tNrWk9vaT29IyJrvThOpcnBGDOqkorcCowHRhpjyjvppwHtSt1vC6RXp5JKKaWCK9DRSmOB+4EJxpizFRRbA3QVkU4iEgVMAxYEElcppZRbgY5WehZoDCwXkQ0i8gKAiLQWkcUAvg7rmcBSYDvwjjFmaxWPPyvA+gVDXagjaD29pvX0ltbTO57UUcpvCVJKKXUh0xnSSiml/GhyUEop5SekkoOI/FZEDvn6LzaIyLgKytXachzVWDIkVUQ2+34PT4aWVbF+531tRCRaRN72Pb9aRDoGq26l6tBORD4Wke0islVE7imnzJUiklPqb+HhYNfTV4/zvo9iPeN7PTeJyKBaqGP3Uq/TBhE5KSL3lilTK6+niLwkIpml5yuJSHMRWS4iu33fm1Xws7f6yuz2jYoMZh1D7v+8gnq6O2caY0LmC/gtcF8lZcKBPUBnIArYCPQKYh3HABG+208AT1RQLhWID/LrV+lrA/wEeMF3exrwdi28z0nAIN/txtilV8rW80pgYbDrVt33ERgHLMHO57kYWF3L9Q0HjgAdQuH1BEYAg4AtpR57EnjAd/uB8v6HgObAXt/3Zr7bzYJYx5D7P6+gns7OmSF15VBFtboch6nakiG1pSqvzUTgFd/t94CRIlLeREVnjDGHjTHrfLdPYUextQlmHTw0EXjVWKuApiKSVIv1GQnsMcbsr8U6fMsY8ymQXebh0n+DrwA3lPOj1wDLjTHZxpjj2HXcxgarjqH4f17Ba1kVNTpnhmJymOm7lHupgsvN8pbjqK0Ty+3YT43lMcAyEfnGtyRIMFTltfm2jO+PPwdoEZTalcPXrDUQWF3O08NFZKOILBGR3kGt2L9V9j6G0t8j2KvBNyt4LhReT4AEY8xhsB8UgFbllAml1zXU/s/LcnLO9HJtpSqR8yzHATwP/B77gv8eeAr7xnznEOX8rKfjcc9XR1O1JUMALjXGpItIK+w8kB2+zO9SVV4b569fVYlII2A2cK8x5mSZp9dhm0ZO+9pR5wFdg11HKn8fQ+n1jAImUM7qyITO61lVIfG6huj/eWnOzplBTw6mkuU4zhGRF4GF5TzlfDmOyuoolS8ZgjEm3fc9U0TmYi/tXP/RVOW1OVcmTUQigDhqdqkaEBGJxCaG140xc8o+XzpZGGMWi8jfRCTeGBPURc+q8D6G0vIw1wLrjDEZZZ8IldfTJ0NEkowxh31NcJnllEnD9pOc0xZYGYS6fSuE/89Lx//2vfb6nBlSzUpl2monAeWtyFqry3FIFZYMEZFYEWl87ja2cysYq8tW5bVZAJwb+XEjsKKiP3xXfH0c/wC2G2P+t4Iyief6QkRkKPZv9Vjwalnl93EBcItv1NLFQM65JpNaMJ0KmpRC4fUspfTf4K3A/HLKLAXGiEgzX1PJGN9jQRHi/+el6+DunBmMXvZq9Mb/C9gMbPJVPsn3eGtgcaly47AjXPZgm3qCWccUbPvdBt/XC2XriB0VsNH3tTWYdSzvtQEexf6RA8QA7/p+j6+BzrXwPl+GvazdVOp1HAfcBdzlKzPT99ptxHYIXlIL9Sz3fSxTT8FuZrXH97ebHOx6+urREHuyjyv1WK2/nthkdRgoxH6C/RG2j+sjYLfve3Nf2WTg76V+9nbf32kKcFuQ6xhy/+cV1NPZOVOXz1BKKeUnpJqVlFJKhQZNDkoppfxoclBKKeVHk4NSSik/mhyUUkr50eSglFLKjyYHpZRSfv4/5nxkp2NvwsIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 尝试绘制两条直线\n",
    "plt.plot(x, sinY)\n",
    "# 可以修改绘制的颜色\n",
    "# 可以修改线条的样式，有四种样式可以指定，\":\", \"-.\", \"--\", \"-\"\n",
    "plt.plot(x, cosY, color=\"red\", linestyle=\"--\")\n",
    "# 指定横纵坐标的显示范围，写法1：一起指定\n",
    "plt.axis([-5, 15, -2 ,2])\n",
    "# 调用show()方法前可以先绘制多条曲线，做一些准备工作\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 尝试绘制两条直线\n",
    "plt.plot(x, sinY)\n",
    "\n",
    "# 可以修改绘制的颜色\n",
    "# 可以修改线条的样式，有四种样式可以指定，\":\", \"-.\", \"--\", \"-\"\n",
    "plt.plot(x, cosY, color=\"red\", linestyle=\"--\")\n",
    "\n",
    "# 指定横纵坐标的显示范围，写法1：一起指定\n",
    "plt.axis([-5, 15, -2 ,2])\n",
    "\n",
    "# 指定横纵坐标的标签\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "\n",
    "# 调用show()方法前可以先绘制多条曲线，做一些准备工作\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AYYwxJiAWOIwxxgTEAocxxpiAWOAwxhgTEAscxhhjAhKywCEiKSIyp4z3o0VksojMFZHbQ1UuY4wxgQlJ4BCResA4IKGMZL8AFqnqBcBVIpIUirIZnzN0w5tqQzVk/0dn6uZHxn+h2o8jH7gW+LiMNH2A3/mezwZ6ADO9LZYB3A2paVNo0gSuvRbuuQcSE4N0amXaqj1MXLyT+ZszOXmqgIaJtRiQlsJNvc6iTXJw8qmx1q+H0aNh3jw4dQqaN4err3b/R0HcpGfRtkO8M38bczce4ODRkzRIjOG8Vg247YKWdGtRL2j5mJohJIFDVbMBRKSsZAnATt/zg0BK8QQicjdwN0CLFi2CW8gzWW6uCxgLFsB//zf89a/wr3/BgAGVOu3urOP8z8QVzF6/n5TatRjatQm146LYtO8o7323nXe/3c7ofm25t08boiKtu+1HCgogIgJat4ZateCmmyA+HlavhiefdEH+vvsqnc3xk/mMmbyK9xfsILFWFAPSUkipHcuuw8eZs2E/nyzbxchzm/HosE7Ex9i+b8YJp09CDhAHZAGJvp9/RFXHAmMBevToYfXpYImNhWeecc/nz4e77oLBg2HFCkhLq9ApN+7L4YZ/zicn9xSPXNmJG887i8iIH7447D+Sy5jJq3j6i/Ws23OEZ649h5goCx4AzJkD998PU6ZAaipMnvzj9zMyXA0RYONGaNMGyv5SVqJDR09yw6vfsnZPNvf0acPovm1JqPXDLSEn9xQvzNzIK19tYuP+HF6/pQcNEmtV5jczNUQ4/aUuAi70PU8HtlZdUc5gPXu6ZpHXX69w0Ni0P4frxs6nQJVJ913Azb1a/ihoACQn1eL5G87lwSEdmbJiN/e9u5j8AvsuwMKFMGgQHDvmaoIladbMBYrNm6FbN/jVrwLu/8g+kcfNr3/H5v05vH7rT/ifwR1+FDQAEmtF8T+DO/Dyz7qzdnc2N776LTm5pyr6m5kapEoCh4j0E5HRxV4eB4wRkWeBNODb0JfMAK5/45Zb3PPFi2HGDL8Pzck9xd1vLURVef/unrRPKXuMw129W/Pny9P4YvVenvlifWVKXf1lZMAVV0CjRvDVV9CyZdnpW7WC22+Hv/8d/vEPv7MpKFB+8e4S1u7J5uWfdafv2Y3KTD+wU2NevaUHG/bl8MD7Sy3Am9AGDlXt4/t3hqo+X+y9bcAAYC7QX1XzQ1k2UwJV1zF7ww2wf78fyZX/mbicLQeO8o/ru9G2kX8D4249vyXX9mjO8zM3Mn3VnsqWunrKz4frroOcHPj0U0g5rYvvdCKuifHyy+G3v3VB3g9j52zmq/X7+fPlnejboeygUeiidsn8+fI0vlyzlxdnbvTrGFNzhVNTFaq6S1UnqGpWVZfF4G5Mr7wChw65fo9ymkM+WbaLKct385tBZ3N+24YBZCOMubITnZvW5g8freDQ0ZOVLXn1c/iw+/fFF6FzZ/+Pi4hwzYrJyS7wHD9eZvIVGVn8ddo6hnRpzI3nBTbA5OZeLbk8vQnPzdjAmt3ZAR1rapawChwmDHXp4kbxfPwxvP9+qckOHzvJI5NXc07zuozq3SbgbGKjI/nLyHQOHcvj8c/WVKbE1VODBjB7Ntx4Y+DHNmwIb73lah4FBaUmyy9QHpy0gvoJMTw5omt5oxxLNOaKTtSJi+bXE5aRl196XqZms8Bhynf//a4T9re/haNHS0zy5GdrOXw8jydHdDmtI9xfaU1qM6p3a/69KIN5mzIrU+Lq5emnYedOV3uowM0cgH794G9/g4TS59i++912lmdk8dBlHakTF12hbOonxPDIlZ1ZvTub97/bXrGymmrPAocpX2Sk63y94w53cytmze5sJizawW3nt6Rjau1KZfVfl7SjSZ1Ynpy6hoIzoRN22jT49a/LrM0F5Kuv4Je/PO3lrGN5/PXztZzfpgFXpDepVBaXdm5Mz9b1eebLDWSfyKvUuUz1ZIHD+OeCC2DMGIiLO+2tv05bR1KtKEb3a1vpbGKjI/n1wLNZnpHFlBW7K32+sJaf74JGmzZuEEIwzJ/vRll9882PXn5l9iayT5zij0PTKtREVZSI8NBlaRw6dpIXZlhH+ZnIAocJzEcfuaYVn++2HGTG2n3c06ctdeNjgpLFsG5N6Zham79OW1ez29EnTIBVq+CJJ9zs8GAYPdqNyHrwwe8HM+w/kssbc7dyRXqTStcIC3VuWofh3Zry5jdb2X+klPkmpsaywGEC8+mn8Ic/uDZ54Nn/rCc5qRa3nt8yaFlERgi/Gdie7QePMXnZrqCdN6wUFMCjj7pJllddFbzzJiS4/59Zs76ff/PirI2czC/glwPaBy8f4Bf92pGXX8CrczYH9bwm/FngMIF56CHXxPKXv7Bsx2HmbszkzgtbERcTGdRs+nVoRIfGSbw4a1PN7Os4ehTOPx8efrjEfqNKGTXKrWX15JMcOnqS97/bwbBzmtKqYVmLUweuVcMELk9vwtvzt3HwTBxCfQazwGEC06qVmxD42muMm7KE2rFR3BDgfAB/iAj39m3Lxn05TF+9N+jnr3JJSfDqq26l22CrVQseewyGDePteVs5npfPqItbBz8fYHTfthzPy+fNuVs8Ob8JTxY4TOB+9Ss4epSU98dxc6+WJMVWbGhneS7rkkrLBvG8MnuTJ+evMitXwnffeZvHbbdxYtQ9vDlvG5d0aFTu0i8V1S4liUs6NOKdb7dzIs8WezhTWOAwgUtPZ8Hga9hdrzG3BLFvo7jICOHW81uyZPthlu047Fk+IfenP8Gll8KJE55mM2neJgbN/YTRbbwJ7IVuv6AVB4+e5JOlNbQ/ypzGAocJWE7uKW776e3IddeRnOTtMtsjuzcjISaScd9s9TSfkNm8GSZNgp//3C1n7xFVZcp/lvHY9Bc557PxnuUD0KtNAzo0TuL1uVts98AzhAUOE7APF2e44NG1AUyc6GleSbHRXN2jOZ8u310zhn2+9JLrDL/3Xk+zWbjtEHNy49l94SXIa6+VvkR7EIgIt1/QirV7jjB/80HP8jHhwwKHCYiq8ta8baQ3q0PXKePdUNJVqzzN8+ZeZ3Eyv4AJC3d4mo/ncnPhzTfd0umFGzF55O1520iKjaLhfz/gVjb2OMBfnt6EpNgo3l9gy5CcCSxwmIAs2naIjftyuPG8s9yeHTExbgVdD7VOTqRn6/pMWLijeg/NXb3a7Rs+apSn2WTm5DJ15W6u6t6M2CGDoW1bt+quh+JiIhnRrSlTV+w5M1c3PsNY4DABGe/bm/qyrqluKe+rrnIrsx475mm+1/2kBdsyjzF/czVe/LBbN9i1q9J7uZfnoyU7yctXrv9pC9csdtddcPJkqQtUBsv157XgZH4BExdneJqPqXoWOIzfjpzI49Plu7k8PfWHbUbvvBOyslyHr4cGd25Mnbho3l9QTZurcnPdEiBxccGf8FeEqjJh4Q7OaV73hyG4v/61G/5bxsq5wdChcW26tajLe99tt07yGs4Ch/Hb5GW7OZ6Xz7U/KTLh7+KL3Ran8+d7mndsdCTDuzXl85V7OHysGjaFPPEEdOzo+RDc5RlZrN+bwzU9mv/wYqRvVv/hw66pzEPX9mjOpv1HWZZhe7HVZBY4jN8mLs6gfUoi6c3q/PBiRITbsvS55zzP/6ruzTiZX1D9Vs0tKIBx46BFC0+H4AJMWLiD2OgIhqan/viNhQshNdUt4+6hIV1TqRUVwcRF1lxVk4UscIjIayIyT0QeKuX9KBHZLiKzfI8uoSqbKd+2zKMs2naI4d2anb4sd7167t8ydp8Lhk5NatOuUSIfLt7paT5BN3s2bNvmBhN4KPdUPpOX7WJwp8bULj6bv2tXSEx0/VEeqh0bzcBOjZm8fBe5p2wmeU0VksAhIiOASFXtBbQWkXYlJOsKvKeqfXyPFaEom/HPR0t2IgLDupWyCdCjj0L37uXuS14ZIsKIc5uxaNshtmV629EbVOPGubWphg/3NJtZ6/aTfeIUw7qVMNQ3JgauvRY++QSyvd0vfMS5TTl8LI+Za/d5mo+pOqGqcfQBJvieTwcuLCFNT2CoiHznq51EhahsphyqykdLdtKrdQNS65y+kRMAjRvD0qWwZImnZRnWrQkiLpBVC8ePuzkUV10F8fGeZjVpyU4aJsZwYduGJSf42c9cH8uHH3pajovaNiQ5qVb1+T8yAQtV4EgACj9FB4GUEtIsAPqr6k+BaGBI8QQicreILBSRhfv37/essObHluw4zLbMYyV/ky00ciRER8O//uVpWVLrxNGrdQMmLdlZPUbuREbCG2/Af/2Xp9lkHc/jP2v2cXl6E6IiS/mzPu88t9vgO+94WpaoyAgu65LKzHX7yTpuW8vWRKEKHDlA4VfVxFLyXa6qhb2eC4HTmrNUdayq9lDVHsnJyd6U1Jxm8rJdxERFMLhz49IT1a/vFu57/323X4eHrkhvwtbMY6zc6W2TS1DExLiges45nmbz+crdnMwvYHhZwV3ETdb8xz88LQvAlec04eSpAqat2uN5Xib0QhU4FvFD81Q6sLWENG+LSLqIRALDgGUhKpspQ36BMmX5bvqenXx6h2txN97oJrh99ZWnZRrcuTHRkcLk5WG+Gmt2Njz+uLsmHpu8bDctG8TTpWmdshNecokbFuyxc5rXpUX9+Jq7g+MZLlSBYxJwk4g8DVwDrBKRx4qleQR4G1gKzFPVL0NUNlOG77YcZN+RXIZ2LaVTvKihQ+GPf4TW3mwaVKhufAy92yXz6bJd4b0EyUcfuR0Tt3u7ftOBnFy+2XSAoV2bnD7irSRffeV2HvSQiHB5eipzNx6oGYtTmh8JSeBQ1WxcB/l8oK+qLlPVh4qlWamqXVW1i6o+GIpymfJNXr6LuOhILunYqPzE8fHwyCNuQqDHLk9vwq6sEyzafsjzvCps/Hg46yzXt+ChqSv3UKCcPnejNHPnwpgxnge0K9KbUqCuGc3ULCGbx6Gqh1R1gqpao2c1cSq/gM9X7uGSjo2Ij/FzkNupUzBlCixf7mnZ+qelUCsqginLw/SmdOgQfPml2xrWn1pAJXy6bBdtGyVytr+7/F17rfv3gw+8KxTQPiWRNskJ1W/CpimXzRw3pfp2y0EOHj3pXzNVobw8uO46eP557woGJNaK4uL2yUxduTs8m6s+/thdi2uu8TSbfdkn+G7rQYZ2TfWvmQrcyKru3V2NyEMiwmVdUvluy0FrrqphLHCYUn22YjfxMZH0OTuAEWxxcW6/iQ8/dDdODw3pksre7FyW7AjD5qpt26B9e+jRw9Nspq3ag6rbnz0g11wDCxa4cnpoSNdU11xlo6tqFAscpkT5Bcq0VXvo26ERsdGRgR189dWQmen56KpLOjYiJjKCz1aE4U3pz3+GlSs9b6aaunIPbZITaOdvM1WhkSPd2llbt3pSrkJnpyTROjmBz8K1SdFUiAUOU6LvthzkQM5JhnQO8JsswKBBrqPc4xnKSbHR9G7fkKkrwqy5qnAF2uhyhi9XUmZOLvM3ZzIk0NoGuOaqrVvd6sYeKmyu+nZLJpk51lxVU1jgMCWaunI3sdERgTVTFYqLgyFDXFOIxy7tnMqurBMsyzjseV5+u+Yaz/s2AKav3kuBUvbEzLKIuMmaHi/1PrhzYwoUvlyz19N8TOj4FThEpLOIDBKRjiKS6HWhTNUq8DVT9W6X/MOGTYH65z/h22+DW7AS9O+YQlSEMG1VmNyUcnJg6lS3dpfHpq7cQ4v68aSl1q7YCfbvd0utv/pqcAtWTFpqbZrXj2PqyjBsUjQVUm7gEJF/AGOAJ4HWwLteF8pUrWUZh9mbnVvxb7IAdet6utNdoTrx0fRq08DXSRwGzVWff+6+wY8c6Wk2Wcfz+GbjAS7t3Nj/0VTFJSdDw4aeNymKCIM7NWbuxgNkn7C1q2oCf/6yu6jqSOCwqk4BylnTwFR301btJSpCuKRDSWtRBuCVV6BXL0+XWgcY1KkxWw4cZcO+HE/z8cuHH7ob8oUlLQAdPDPX7uNUgTKwUyVrNsOHu/1CMr3dy31w51Ty8tWWWq8h/Akc+0XkT0A9EbkFsPpmDabqmql6tWlAnfhKdu7GxLgtZZcuDU7hSjEwLQUR+Lyqm0Jyc+F9wOKMAAAgAElEQVTTT91w5MgAR6IFaNqqPTRKqkW35nUrd6Lhw10/x6efBqdgpejWvC6NkmoxNRxHwJmA+RM4bgaygHm42satXhbIVK0N+3LYcuAogyr7TRbc2lUREW7NJg81qh1L9xb1qj5w5OfDk0/CnXd6ms2JvHxmrdvPgLQUIiIqOdy3e3do1szz/6OICGFgpxRmb9jPiTzbGbC68ydwXA0cAr4FDvt+NjXUNN/Nd2BaJZupwDXZXHQRTJpU+XOVY2CnFFbvzmbHwWOe51Wq+Hi47z7o2dPTbOZsOMDxvPzgBHcRePppeOCByp+rHAPTGnPsZD5zNx7wPC/jLX8Ch/geccAIoLenJTJV6os1e+nWoi6NascG54TDhsGKFbBpU3DOV4oBae4mWmVDPgsK4O23Pe8rAJi+ag9JsVH0bN0gOCe8+mro0yc45ypDz9YNSKoVxfRwGQFnKqzcwKGq43yPl1V1GHAyBOUyVWDX4eMsz8hiYFoQh5IOHw533RW885WiVcME2qckVt1N6dtv4eabYdo0T7PJL1D+s3Yf/To0IiYqiKPWFi6ECRPKT1cJMVER9O3QiC/X7CU/nCZsmoD5Mxy3d5HHSCAtBOUyVaDw2/qAYDRTFTrrLBg71s1U9tjAtMZ8t/Ugh45WwXebSZMgKspNfPTQom2HOHj0ZHD/jwCeew7uueeHWe8eGdgphcyjJ1m0LQzXFzN+8+crS98ij/bAfZ6WyFSZ6av20jo5gbaNgjzHUxUWLXJLjXtoQFrK99/IQ27SJOjb181f8dAXq/cQExnBxe2DvHXysGFw8CB8/XVwz1vMxe2TiY4Uvlhto6uqM3+aqsYUeTypqqtCUTATWlnH85i/OTP432TB7c3Ro4fnI3e6NK1D49qxob8prV0L69fDlVd6mo2qMn31Xnq1aUBSedv4BmrgQKhVy/OBDEmx0fRq05Dpq/eGx4RNUyG2VpUBYNY634SyYPZvFOra1a3E+vHHwT93ERERQv+0RsxefyC0Qz4Lv6VfcYWn2azfm8O2zGPeBPfEROjf3/0feXxDH5iWwrbMY+ExYdNUSKmBQ0RmisiMYo+ZIjIjlAU0oTF99V4aJgZhQllJRNy38enT4ejR4J+/iAFpjTmeF+Ihn3feCTt3QvPmnmZTWJPyJHCAa67KzISMDG/O71NY/i9W2+iq6qrUwKGqfVW1X7FHX1XtV5GMROQ1EZknIg9VJo0JvtxT+Xy1bj/9Ozaq/ISy0lx5pVvD6csvvTm/T8/W9UmsFRX6m1KTAHZJrKAvVu8lvXldUoI1VLq4G290Cx96HABTaseS3qwO0y1wVFshaaoSkRFApKr2AlqLSLuKpDHemL/5IDm5p7z7JgvQuzfUqeP50ha1oiK5+OxkvlyzLzR7dLzzDowYAdnZnmazN/sEyzKygjMxszRxca6fIwQGpKWwbMdh9mZ7u6S78Ya/y6oni0gL36NXBfLpAxQOEp8OlLQCnD9pjAe+WL2HuOhILmjb0LtMoqNhxgw37NNjA9NSOJCTy5IdIdijY/x4WLwYkgLcgS9AngyVLsns2dC5cwiaq6p4wqapFH/mcbwGjAc+Bt4D/lqBfBKAnb7nB4GSPv3lphGRu0VkoYgs3L9/fwWKYUpyKl8ZkJYS+BaxgTr3XPet1mN9zm5EVIR431x19KhrervySs+3iP1i9V7OahBPu2APlS4uORlWrYJPPvE0m/YpibSoH2/9HNWUPzWOtsBgYCNwMVBQgXxycEuWACSWkm+5aVR1rKr2UNUeyclBHsd+BvvfkV159rpzQpTZ/8Lzz3uaRZ24aM5rXd/7YbnTp7t+G4+H4ebknuKbjZn075hS8b03/NWhA7Rr5/kIOBFhQFoK32zMJCfX20mHJvj8CRzHgEuASNwCh/UqkM8ifmh6Sge2VjCN8YjnN6RCM2e65iqPh3wO6JjCpv1H2bzfwyGfn3ziJvxddJF3eQCz1+/nZH6Bt/0bhQpHwM2cCVlZnmY1IC2Fk/kFzF5vrQfVjT+B4ypgA/BLoCNwbwXymQTcJCJPA9cAq0TksXLSTKlAPibcXXklbNjgJs15qH8ohnx26gSjR7v+Gw9NX7WHevHRdD+rIt/ZKuDKKyEvz+1m6KEeZ9Wjbny0NVdVQ/4EjsHATlXdpqp/UtU5gWaiqtm4zu/5QF9VXaaqD5WTxtuvO6ZqFE6S87gppFk9txe3pzel3/wGHn3Uu/MDefkFzFi7j34dUoiKDNF83V693IKNHg8xjoqMoF+HRsxYu4+8/Iq0gJuq4s8nsR0wUUT+JSLXikhCRTJS1UOqOkFVS2149ieNqeaaNXPLj3gcOMA1hSzafogDObnBP/m6dW7HP48t2HKQ7BMeD5UuLjISxo3zvAkO3Ai4rON5LNh60PO8TPD4s1bV/6rqEODnuEUOt3leKlOzXXstNGoUkpVYVWHGmiAveqjqVsG97rrgnrcE01fvJSYqgt7tPRwqXZqtW2Gbt3/uvdsnUysqwvboqGb8GY57hYi8BLzre8n7ryGmZvvNb1yNIyrK02zSUmvTtG4c04M9umrVKti8GQYPDu55i1FVvli9l97tGhIf4+21Os2JE64P568VGX3vv/iYKC5s25AvbNHDasWfpqrOwNOqermqPqqqa7wulDlDHPS2eaJwyOecDQc4djKItZvCFWQ9XtRw9e5sdh4+7s3Ck+WJjYVBg9zv6vWih51S2Hn4OKt3ezv73gSPP01VT6jqhlAUxpxBnnnGdb56vFTHwE4p5J4qYPb6IC56OGkSnHcepKYG75wlmL5qLxECl3Rs5Gk+pRo2zC3euHChp9lc0jEFEay5qhqxZdVN1fjJT1znssdDPn/asj514qKD11y1Y4fblGr48OCcrwzTV++lx1n1aZAYmvWjTnPZZa6j3OM9Ohom1qLHWfWYtsrGxFQXFjhM1ejVyy1v4fHmTlGREVzSsRH/WROkIZ9Nm8K8eXDTTZU/Vxl2HDzGmt3ZDOwUwtFUxTVo4Ban9Hj5EYBBnRqzds8Rtmce8zwvU3kWOEzViIx0fQRTpng+rHVQp8ZkHc/j281B6FOJiICePT2f41D47btK+jeKev55tzilxwp/z6APZDCesMBhqs7w4XDkiOc3pt7tkomNjqh8U0hmJtx3n9sm1mPTVu0hLbU2LRrEe55XmdLSXM3QYy0axNOhcZI1V1UT/gzHvUZEqqiR1dRo/fvDyy+7/g4PxcVE0qd9I6av3lO5PTomT4YXX/S8Q3/fkRMs3HaIwZ2ruLZR6MMP3dIqHhvUqTELtx1i/xHvJ1aayvGnxtERmCkir4jIBV4XyJxBatWCUaOgofeT2wZ1TmFvdi5LMyqxR8fEiW7v9O7dg1ewEkxftRdVdyMNC+vXwwsvuIEBHhrcuTGq1lxVHfgzHHeMqp6PmwD4lohsEJFbPS+ZOTMcPQpjx8LSpZ5m069DCtGRwucrK3hTys52y6iPHOn53hvTVu2hVcME2qd4vPeGv0aMcP96PJChQ+MkWjaIr/j/kQkZf5uqJgF/Ap4CegL3eF0wc4ZQhfvvh9df9zSbOnHRXNi2IZ+t2F2xGcpTpsDJky5weOjwsZPM25TJoE6NQ7fUfXnat3e7Ak6c6Gk2IsKlXVKZtymTw8dOepqXqRx/mqrSgF+p6iW+jZQygds8Lpc5UyQmuqU7PvwQCrxdIfXSzqlkHDrOyp0V6KPIzoauXd0wYg9NX7WXUwXKZV28nVwYsJEjYc4c2ONtbeDSzo05VaC21HqY86ep6mFV3VzstdXeFcmcca6+2s1QnjfP02wGpKUQGSFMXbk78INHjXLNaRHeDkT8bOVumtWLo3PT2p7mE7Crr3bDkPd6e0Pv0rQOTevGMdWaq8KaDcc1Ve/yy11H+QcfeJpNvYQYzm/TIPDmqqws16TmcdNR1rE85m48wGVdUsOnmapQp07wzTeQnu5pNiLCkC6NmbNhP1nH8zzNy1ScBQ5T9ZKS4NJLPV/CG2BIl1S2Zh5j1a4AmqvuuAMu8H5A4fTVe8jLVy4Nt2aqorKyIMfD7XiBy7o2IS9fmW5zOsKWBQ4THsaP93zUDsDgTo2JihA+Xe5nc1VOjusY93gILsBnK3bTtG4c6c3qeJ5XhWzf7iYDvvWWp9mkN6tDs3pxTFlRgSZFExIWOEx4iIlx/3q8uVO9hBgubNeQT5fv8q+56tNP3d4U11zjabkOHT3JnA0HGJoehs1UhZo3h7Zt4f33Pc1GRLisaypfbzjAoaM2uiocWeAw4eP//s/dmDwOHkO7NiHj0HGW7vBjMuD48W5dKo+bqj5buZtTBcoV6d6ugVUpInD99W50lceTAS/v2oRTBWpLkIQpzwOHiLwmIvNE5KEy0kSJyHYRmeV7dPG6XCYMtWrl+jlmzvQ0m4GdUoiJjGDysnKaQg4ehM8+c1vEejya6pOlu2idnEBaapiNpiru+uvdv+PHe5pNpya1ad0wgY+X7vI0H1Mxnv41iMgIIFJVewGtRaRdKUm7Au+pah/fY4WX5TJhasgQqF0b3n23/LSVUDs2mr4dkpm8fBenylpqPTHR3SBHjfK0PHuyTvDd1oNckd4kfJupCrVtCz16wHvveZqNiHDFOU2YvyWTPVknPM3LBM7rGkcfYILv+XTgwlLS9QSGish3vhpKiRssi8jdIrJQRBbu378/+KU1VSsuzi1v8eGHrl/BQ8O7NWX/kVy+2ZRZeqKYGLcLXvv2npZl8rJdqBLezVRFPfec58EdYNg5TVGFT5bt9DwvE5igBg7fQoiFzU2zgF8Ahf/rB4HSdqVZAPRX1Z8C0cCQkhL5Zq73UNUeySFY6tlUgRtucLO0J0/2NJs+ZzeidmwUHy0p5aaUkQEPP+z5hDeAiYszOKd5XVonh8naVOXp1QvOPtvzbFo2TCC9eV0mLbHmqnAT1MChqqOKNDf1AZ4D4nxvJ5aR33JVLWxwXgiU1qRlarp+/eDxxz1faj02OpLLuqby+co9HM0toTP+nXdgzBjP5yys3pXN2j1HGHluU0/zCbr5810TnsfLxAw7pwmrd2ezfu8RT/MxgfG6qWoRPzRPpQNbS0n3toiki0gkMAxY5nG5TLiKjIQ//AFatvQ8q2HnNOV4Xv7pI3dU4Y034KKLoE0bT8vw4eIMoiOFoV2rSTNVoS1b3KrGX33laTaXpzdhzBWdSEmK9TQfExivA8ck4CYReRq4BpgiImki8lixdI8AbwNLgXmq+qXH5TLhTNU1VXncXPXTVvU5q0E8ExYWG1o6b57bg+I2b9fyPJVfwKSlu+jXoRH1EmI8zSvohg1zAxnGjfM0m4aJtbjl/JbUiY/2NB8TGE8Dh6pm4zrI5wN9VTVLVVer6kPF0q1U1a6q2kVVH/SyTKYaEIEnnoDf/94FEc+yEa7u3oz5mw+yLfPoD2+88QYkJLiF/Tw0Y+0+DuTkMvLcZp7m44m4ODcp8oMPPN8R0YQfz+dxqOohVZ2gqjaTx/jvtttg1Sr49ltPs7mqe3MihB/XOvLy4MYb3XBcD72/YAeNkmrRr0MjT/PxzF13wbFjIRlhZcKLzRw34en6692N++WXPc2mcZ1YLm6fzL8XZfwwp+PNNz3Pd3fWcWat28fVPZoRFVlN/wx/8hO47DKItmakM001/cSaGi8pyX3rHz8eDh3yNKvrftqCvdm5fLl6r+v0Bc+XUJ+wIIMChet+0sLTfDwl4tbyuuOOqi6JCTELHCZ8jRoFKSmwcaOn2VzSoRFN6sQy973PoHVrz1fpzcsv4L3vtnNRu4Y0rx/vaV4hkZcHCxZUdSlMCFngMOGrWzfYvNnzOR1RkRHc2PMsuk5+n4L4BLjkEk/zm7pyD3uyT3Dr+S09zSdkHnwQeveGAwequiQmRCxwmPAWEQG5uZ6vxnp9i2iuXDOLBb2HumGmHnpz7hZaNoin79nVtFO8uFtvdUvEjB1b1SUxIWKBw4S/3r3hlls8zaL+G/8kqiCfP7YewEEP94BYtuMwi7cf5pbzWxIREeYLGvorLQ0GDIAXXoCTtn/GmcAChwl/V13lllpfssSb8+fnw1tvcWzI5axPasy4b7Z6kw/w8lebSIqN4qru1XDuRlkeeAB27fJ81VwTHixwmPB3112u+ejxx705f2QkLF1K4gvP0b9jI8bN28qxk8HfTGr93iNMXbmHW89vSVJsDRvCeumlcM45MGlSVZfEhIAFDhP+6taF+++HiRNhRZC3ajl1ys1Or18fzjqLe/q04fCxPP41f3tw8wFenLmR+JhIbrugVdDPXeVE3KZXEydWdUlMCFjgMNXDAw94s8nT3/8OP/0pHHGrr3Y/qz4XtWvIi7M2cuREXtCy2bgvh0+W7eLG81pQv7qtS+Wv1FQ3mOHgQc+3/zVVywKHqR7q14dFi9waVsFy5Ag89ZQ7d1LS9y//dtDZHDqWxz/nbAlaVv87dS3xMVH8/GJvV9utchs3uhWF33yzqktiPGSBw1Qfbdu6JpG9e4Oz+OGjj7q5B4/9eLHmrs3qclmXVF6bs5l92ZXfiXD+5ky+XLOXe/q0oUFirUqfL6y1aeNGWf3xj8HZy+Szz+BLWyw73FjgMNXLsmXu5vT++5U7z9q18MwzcPvtJU4w/O2gs8krUB75dHWlssnLL+CRyatJrRPLHRfWwL6N4kTgb3+DPXsqXzvMynLLmfzud55vGGUCY4HDVC+dO7ttS3/5y8rNVH7uObd0+pNPlvh2y4YJjO7blk+X7+ar9RXf337s7M2s3p3Nn4amERsdWeHzVCs9e7p5N3/5S+WGUP/xj652+fLLru/EhA373zDVS2QkvP6664C9556KN1k98wxMnQqNSp+9Peri1rROTuD3E5dzqAKTAjfuO8Kz/9nApZ0bc2mX1IqVs7p65hl3bT/+uGLH/+c/8PzzcO+90KNHcMtmKs0Ch6l+0tPhkUfg3/92QSQQ69fD4cNQqxb06lVm0lpRkTxzzTnsz8nlVxOWUlDgf5A6ciKPn7+zmISYSMZc2SmwMtYE9eq5ZsWHH67Y8S+8AB06uMELJuxY4DDV029/CwMHwrp1/h+zdSv07QtDh/pdU0lvXpeHLktj5rr9/N90//LKL1B+OX4ZWw4c5YUbz6XRmbpfdnKy+3fZMnjnncCOHT8epk93zYkm7ERVdQGMqZDISLcneYxvTsTRo2XfZLZvh0GD3I51L70U0H4bN/c6izW7s3lx1iZioiK4/5J2SCnH557K55fjl/Llmr2MuaIT57dpGMhvVTM98YTbYvboUbdUfmmOHnXbBT/8sBsi3ayGLctSg4SkxiEiKSIyp5w00SIyWUTmisjtoSiXqeYKg8bmzdCunZvMl1fCpL3PPoNzz4Xdu93GQ126BJSNiPDE8C5c1b0Zf/9yA6PfXcLhY6f3eWzcl8NNr37HZyv28OCQjtxSU5ZNr6w33oAhQ+DnP3cTOUvao3zJEteX8fzzMHdu6MtoAiIajPHwZWUgUg94D2ikqueWke5XQG1VfVhEPgOuVdUjpaXv0aOHLly4MPgFNtVPVhbccIMLEG3awHXXQceObgdBgAsucDeriROhffsKZ5NfoIydvZmnv1hHbFQkQ9Ob0KVpHRRl/uaDfL5yN7HRkTx6ZWeGdWsapF+uhsjLcyPhXnzRdZqvWeP6QT75BF55BT7/HBo3hnHjoH//qi5tjSYii1S1UiMOQhE4agMCfKyqfcpI9wnwO1VdLSK/A75V1ZnF0twN3A3QokWL7tu2bfOu4KZ6UXWB47HH3G50+fluy9m6dV2NJDUV4uKCktXqXdm8+vVmpq7Yw/G8fACSk2oxqFMKD/RvT8OaPsmvMhYscB3fb7zhmgtvuAFmz3Z7evzyl9CgQVWXsMYLy8AhIq8AZxd5aYaqPiIis8oJHP8BRqhqli9AZKtqqbO8rMZhSnX8OGzb5maaR3nXjXciL5/Dx/LIyy+gWb24Uvs9TBlyciA+3uZphFAwAkfQ/6pUtYzerzLlAHFAFpDo+9mYwMXFuaGcHouNjqRxnTNkUp9XEhOrugSmAsIpzC8CLvQ9Twe2Vl1RjDHGlKZKhuOKSD8gTVWfL/LyOOAzEbkISAO+rYqyGWOMKVvIahxF+zdUdUaxoIGqbgMGAHOB/qqaH6qyGWOM8V9YTQBU1V3AhKouhzHGmNKFUx+HMcaYasAChzHGmIBY4DDGGBMQCxzGGGMCYoHDGGNMQCxwGGOMCYgFDmOMMQGxwGGMMSYgFjiMMcYExAKHMcaYgFjgMMYYExALHMYYYwJigcMYY0xALHAYY4wJiAUOY4wxAbHAYYwxJiAWOIwxxgQkJIFDRFJEZE45aZqKSIaIzPI9kkNRNmOMMYHxfOtYEakHjAMSykl6HvC4qr7kdZmMMcZUXChqHPnAtUB2Oel6AneKyGIRecL7YhljjKmIoNc4ROQV4OwiL81Q1UdEpLxDpwKPAseAL0Wkq6ouD3b5jDHGVE7QA4eqjqrgod+oai6AiCwB2gE/ChwicjdwN0CLFi0qU0xjjDEVFE6jqqaJSKqIxAMDgZXFE6jqWFXtoao9kpOt79wYY6qC553jJRGRfkCaqj5f5OUxwEzgJPCyqq6rirIZY4wpW8gCh6r2KfJ8BjCj2PszgQ6hKo8xxpiKCaemKmOMMdWABQ5jjDEBscBhjDEmIBY4jDHGBMQChzHGmIBY4DDGGBMQCxzGGGMCYoHDGGNMQCxwGGOMCYgFDmOMMQGxwGGMMSYgFjiMMcYExAKHMcaYgFjgMMYYExALHMYYYwJigcMYY0xALHAYY4wJiAUOY4wxAbHAYYwxJiAWOIwxxgTE88AhInVEZKqITBeRj0Qkpoy0r4nIPBF5yOtyGWOMqZhQ1DhuBJ5W1YHAHmBwSYlEZAQQqaq9gNYi0i4EZTPGGBOgKK8zUNUXi/yYDOwrJWkfYILv+XTgQmCDdyUzxhhTEUEPHCLyCnB2kZdmqOojItILqKeq80s5NAHY6Xt+EDi3hHPfDdzt+zFXRFYGqdheaggcqOpC+MHKGVxWzuCpDmWE6lPOs8tPUragBw5VHVX8NRGpD/wDGFnGoTlAnO95IiU0o6nqWGCs75wLVbVHpQvsMStncFk5g6s6lLM6lBGqVzkre45QdI7HAB8Av1fVbWUkXYRrngJIB7Z6XDRjjDEVEIrO8TtwzU4PisgsEblWRNJE5LFi6SYBN4nI08A1wJQQlM0YY0yAQtE5/hLwUglvPVQsXbaI9AEGAH9R1axyTj02OCX0nJUzuKycwVUdylkdyghnUDlFVYNREGOMMWcImzlujDEmIBY4gsTfGfIiEiUi2339PbNEpEuoyxru/LmWdh39IyL3FLlGS33D5YunsWvpBxFJEZE5vuctfNdqhoiMFREp5ZimIpJR5Nomh7bUHlHVsH7g+mG2A7N8jy5lpB0DLABeqIJy3gsM8D1/CbiilHTnAk9V4fV8DZgHPFSZNFV9LcPgOvr1uazKz2QJZfkH0CMMr2UKMMf3PBqYDMwFbi/jGL/SBbGM9YDPgcW+nx8HOvqeTwW6lnLcCOCeKryeTYGMIp/T5DKO8/vvvjrUOLoC76lqH99jRUmJRKQ7bjjvT4F9ItI/lIVU1RdV9Qvfj2XNkO8JDBWR73xrc3k+QKGQP8u6hMPSL35eyyq7jj7lfi6r+jNZrCxNgRRVLWkMf1V+JusB43ATgAF+ASxS1QuAq0QkqZRD/U0XLPnAtUA2gKo+qKprfO81oPSJfz2BO0VksYg84XEZS7qe5wGPF/mc7i/luID+7qtD4PD3Q30xMFFd6JwGXORloUTklSLVz1ki8iff6+XNkF8A9FfVn+K+NQ3xspzF9OH0ZV0qkiYkyrmWVXkdwb/PZUg/k+W4j5JHN0LVXssf3ZD58edvNlDahDp/0wWFqmZrCSM9ReRaYJWq7irl0Km4sv4E6CUiXb0rJXD69fQ3cPUhgL/7UH9LK1cJS5bMxH2od4vIW7gP9SclHJoAbPI9P4irrnlGKz5Dfrmq5vqeLwRC+Y2+3GVd/EzjOT+uZVVeR/jhZlvW5zKkn8nSiEgE0Bd4sJQkVXYtVTUboEgXQfHPX2nXzN90nhGR1sBvgLJqkt8UXlsRWYK7tsu9KlMJ13Mq8ChwDPhSRLqqakn5B/R3H3Y1DlUdVaRa1Qf4X1Xd7Xu7rA91uUuWeCmAGfJvi0i6iEQCw4BlISmg4881qtLrCH5fy6q8juButuV9Lqv8WvpcBHzrq/mUpKqvZVH+XrOq/nuvB7yH618pa87ZNBFJFZF4YCAQ6vX1vlHVI6qaDxQGrpIEdD3DLnCUwN8PdVUvWeLvDPlHgLeBpcA8Vf0yhGX05xpV9XWE06/ln8PsOoJ/n8twuJYAg3DNOYThZ7I4f69ZVV/b3wEtgH/4PqMXi0g/ERldLN0YXKvJfOBlVV0X4nL6G7gCu56h7O2v4AiBzriq3QpcJw9AfeDVYukicCMsngXWAa2quuzh9gBq425wTwNrfB+Qx8pJU6eqyx2Oj+KfS/tMVvp6zvL9exawynfNFgCRQD9gdLH0p6Wr6t8hnB5FrmdfYK3vszra91paZf/ua9TMcRGJAy7DDZnbXNXlCUe+KvYAYLaq7qloGuMf+0wGTkSa4L79TtMymoH8TWf8E8jffY0KHMYYY7xXHfo4jDHGhBELHMYYYwJigcOYEBORv1d1GYypDOvjMMYYExCrcRhTChG5UEQ+EJEIEZknIs1LSZcoIp+LyBwReaO8Y0VkVpHncSLyqYjMFrcScNit5mBMcRY4jCmFqn6Nm1H7PDBJVXeUkjQVtzxKf6CliKQEcGwaUKCqvYE3cLN2jQlr9u3GmLK9gFtquqx9FPKAO4HbcBMBC5du8OfYxcBKEZkObMAt3W1MWLMahzFlewh4EvhjGWnuAP4NXA8cDfDYdGCuqg7E7flQlSvoGuMXCxzGlN9GgGIAAABkSURBVEJErgJ2qeqfgE4iUtqKoV8Avwdm+H5uGsCxW4H/EpFvgMa4BRONCWs2qsoYY0xArMZhjDEmIBY4jDHGBMQChzHGmIBY4DDGGBMQCxzGGGMCYoHDGGNMQCxwGGOMCcj/A/3WEfjUA5LhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制两条直线\n",
    "# 给两条曲线添加图例加以区分\n",
    "plt.plot(x, sinY, label = \"sin(x)\")\n",
    "\n",
    "# 可以修改绘制的颜色\n",
    "# 可以修改线条的样式，有四种样式可以指定，\":\", \"-.\", \"--\", \"-\"\n",
    "plt.plot(x, cosY, label = \"cos(x)\", color=\"red\", linestyle=\"--\")\n",
    "\n",
    "# 指定横纵坐标的显示范围，写法1：一起指定\n",
    "plt.axis([-5, 15, -2 ,2])\n",
    "\n",
    "# 指定横纵坐标的标签\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "\n",
    "# 添加图例\n",
    "plt.legend()\n",
    "\n",
    "# 添加标题\n",
    "plt.title(\"三角函数图像绘制\")\n",
    "\n",
    "# 调用show()方法前可以先绘制多条曲线，做一些准备工作\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, sinY)\n",
    "plt.scatter(x, cosY, color = \"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成两组长度为10000，均值为0，方差为1的向量\n",
    "a = np.random.normal(0, 1, 10000)\n",
    "b = np.random.normal(0, 1, 10000)\n",
    "\n",
    "# alpha 不透明度，0.5为半透明\n",
    "plt.scatter(a, b, alpha = 0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "253.458px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
